Christian theologians generally hold that God’s omnipotence allows Him to do anything that is logically possible, but not things that are logically impossible, as these are not coherent "things" to be done. A Euclidean triangle, by definition, is a flat, two-dimensional shape with three straight sides and angles that sum exactly to 180 degrees. This is a logical and mathematical necessity inherent to Euclidean geometry.
Most theologians, following thinkers like Thomas Aquinas or C.S. Lewis, would argue that God cannot create a Euclidean triangle with angles summing to more or less than 180 degrees because such a shape would contradict the definition of a Euclidean triangle, making it a logical impossibility akin to creating a "square circle." God’s power extends to all possible realities, but logical contradictions are not realities to be actualized.
However, some theologians might note that God could create non-Euclidean geometries (e.g., spherical or hyperbolic), where triangles have angle sums different from 180 degrees, as these are logically consistent systems. This doesn’t contradict the Euclidean definition but expands the geometric framework.
In short, most Christian theologians would say God cannot make a Euclidean triangle with angles not summing to 180 degrees, as it’s a logical contradiction, not a limit on His power.
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